You Will Understand Their Abilities Better
The more time you spend with your children, the more attuned you will be to their emerging abilities. Those fathers who spend little time with their children frequently either underestimate or overestimate the developmental progress of their sons and daughters. If you underestimate your child's competence, you won't provide adequate challenge or stimulation. Your child will be bored. If you overestimate your child's skills, your unrealistic expectations will prove to be a frustrating and unpleasant experience for him and you. In either case, your child will be less motivated to interact with you in the future.
The more time you spend with your children, the more realistically you will be able to assess their capacities and the more aware you will be of their particular talents and sensibilities. You will, therefore, have the optimal opportunity to provide challenging and stimulating interactions. You will discover not only what they enjoy doing, but how they enjoy doing it. (For example, adult rules may be inappropriate when playing a game with a 6-year-old. There are probably a hundred different ways you can play a game with a basketball.)
And, don't forget to let your children win, at least some of the time. No one enjoys playing something at which they always lose.